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271070304 = 253171631019
BaseRepresentation
bin10000001010000…
…011010001100000
3200220001210112220
4100022003101200
51023343222204
642521551040
76501026301
oct2012032140
9626053486
10271070304
1112a01514a
1276945480
134420c03b
14280027a8
1518be71d9
hex10283460

271070304 has 96 divisors (see below), whose sum is σ = 758782080. Its totient is φ = 84436992.

The previous prime is 271070299. The next prime is 271070329. The reversal of 271070304 is 403070172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265507 + ... + 266525.

It is an arithmetic number, because the mean of its divisors is an integer number (7903980).

Almost surely, 2271070304 is an apocalyptic number.

271070304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271070304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379391040).

271070304 is an abundant number, since it is smaller than the sum of its proper divisors (487711776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271070304 is a wasteful number, since it uses less digits than its factorization.

271070304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 271070304 is about 16464.2128266128. The cubic root of 271070304 is about 647.1833180570.

The spelling of 271070304 in words is "two hundred seventy-one million, seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 163 204 272 326 408 489 544 652 816 978 1019 1304 1632 1956 2038 2608 2771 3057 3912 4076 5216 5542 6114 7824 8152 8313 11084 12228 15648 16304 16626 17323 22168 24456 32608 33252 34646 44336 48912 51969 66504 69292 88672 97824 103938 133008 138584 166097 207876 266016 277168 332194 415752 498291 554336 664388 831504 996582 1328776 1663008 1993164 2657552 2823649 3986328 5315104 5647298 7972656 8470947 11294596 15945312 16941894 22589192 33883788 45178384 67767576 90356768 135535152 271070304